Use the Quadratic Formula to Solve For $y$ ​ $x ^ { 2 } + 12 x y + 36 y ^ { 2 } - 5 x - y - 3 = 0$

question 27

Multiple Choice

Use the Quadratic Formula to solve for $y$ .​ $x ^ { 2 } + 12 x y + 36 y ^ { 2 } - 5 x - y - 3 = 0$ ​

• A) \(y = \frac { - ( 36 x + 1 ) \pm \sqrt { ( 36 x - 1 ) ^ { 2 } - 144 \left( x ^ { 2 } - 5 x - 3 \right) } } { 72 }\)
• B) \(y = \frac { - ( 12 x + 1 ) \pm \sqrt { ( 36 x + 1 ) ^ { 2 } - 144 \left( x ^ { 2 } + 5 x + 3 \right) } } { 72 }\)
• C) \(y = \frac { - ( 36 x - 1 ) \pm \sqrt { ( 36 x - 1 ) ^ { 2 } - 144 \left( x ^ { 2 } - 5 x + 3 \right) } } { 72 }\)
• D) \(y = \frac { ( 36 x - 1 ) \pm \sqrt { ( 36 x - 1 ) ^ { 2 } - 144 \left( x ^ { 2 } - 5 x - 3 \right) } } { 72 }\)
• E) \(y = \frac { - ( 12 x - 1 ) \pm \sqrt { ( 12 x - 1 ) ^ { 2 } - 144 \left( x ^ { 2 } - 5 x - 3 \right) } } { 72 }\)

---

Definitions:

Gestalt Principle

A theory in psychology that proposes objects are viewed holistically, emphasizing the whole of anything is greater than its parts.

Proximity

The physical or psychological closeness between people or objects, often influencing relationships and interactions.

Continuation

The act of proceeding or carrying on with an activity or process without interruption.

Gestalt Psychology

A psychological approach that emphasizes the perception of whole objects rather than the individual elements.